In this context, the index n appearing in Eqs. (18) or (19) is a quite misleading symbol. More precisely, one should use instead Z(σn+1) and Z(σn) but, as a consequence, for the ratios we would get the same value regardless of the index: hn=hn+1. Rather, looking at Eqs....
9 RegisterLog in Sign up with one click: Facebook Twitter Google Share on Facebook self-similarity (redirected fromSelf similarity) self-similarity [¦self ‚sim·ə′lar·əd·ē] (mathematics) The property whereby an object or mathematical function preserves its structure when multiplied ...
COCYCLESKERNEL functionsSTATIONARY sequences (Mathematics)LINEAR algebraDISTRIBUTION (Probability theory)Kernel functions of stable, self-similar mixed moving averages are known to be related to nonsingular flows. We identify and examine here a new functional occuring in this relation and study its ...
20. In Ref.21quantum non-Markovian behavior was studied from the perspective of linear response theory. The effort to unify all such definitions into a single framework is important and remains studied by various authors; in this context, cf.22. It is fair to say that the question of how ...
In the context of fluidized granular beds, the effect of air permeation is very important. The viscous force originating from the interstitial air in the porous medium governs the onset of the bubbling in the bed when the air injection is homogeneous. In contrast, this effect is minor in the...
Xue et al. [42] combined DeepTEN and GAP, by which local appearance and global context are simultane- ously captured. The combination is done by applying bi- linear pooling [22] to the features pooled from DeepTEN and GAP. In their another work [...
thiscontextarethepropertiesofnondispersingandnon- diffractinglightbullets[1–3]andtheformationofspatio- temporalopticalvortexsolitonswherethewaveintensity vanishesataphasesingularity[4–6].Thesestudieshave ledtoimprovedinsightsintobeamcollapseandfilamenta- ...
In the context of KPZ theory [4] most of the recent efforts have been concentrated on scaling exponents and in particular on the question of an upper critical dimension [5], [6], [7], [8]. In this note we will focus on the full-height distribution at one point above the substrate....
Self-similarity of Farey staircases - Grynberg, Piacquadio () Citation Context ...al quantum Hall effect based on the filling factors associated with the Farey fractions. The self-similarity properties of the Farey fractions are widely known to posses remarkable fractal properties =-=[24]-=-....
In this context, an interesting open question now is to find out if the angle distribution is structurally stable, namely whether or not the distributions in Fig. 7 and in the video remain invariant under C1-small perturbations and, if not, to try to classify the angle distributions in ...